منابع مشابه
Translation Invariant Ideals
Translation invariant ideals of subsets of groups and their invariant extensions are studied.
متن کاملOn a Metric on Translation Invariant Spaces
In this paper we de ne a metric on the collection of all translation invarinat spaces on a locally compact abelian group and we study some properties of the metric space.
متن کاملTranslation invariant mappings on KPC-hypergroups
In this paper, we give an extension of the Wendel's theorem on KPC-hypergroups. We also show that every translation invariant mapping is corresponding with a unique positive measure on the KPC-hypergroup.
متن کاملFinitary Actions and Invariant Ideals
Let K be a field and let G be a group. If G acts on an abelian group V , then it acts naturally on any group algebra K[V ], and we are concerned with classifying the G-stable ideals of K[V ]. In this paper, we consider a rather concrete situation. We take G to be an infinite locally finite simple group acting in a finitary manner on V . When G is a finitary version of a classical linear group, ...
متن کاملInvariant Ideals and Matsushima’s Criterion
Let G be a reductive algebraic group and H a closed subgroup of G. Explicit constructions of G-invariant ideals in the algebra K[G/H] are given. This allows to obtain an elementary proof of Matsushima’s criterion: a homogeneous space G/H is an affine variety if and only if H is reductive. 1. Algebraic homogeneous spaces Let G be an affine algebraic group over an algebraically closed field K. A ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2003
ISSN: 0021-2172,1565-8511
DOI: 10.1007/bf02776051